Energy Loss given Flow Velocity Calculator

✖The Flow Velocity refers to the speed at which a fluid (such as water) moves through a specific cross-section.ⓘ Flow Velocity [V_f]			+10% -10%
✖The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows.ⓘ Roughness Coefficient of Conduit Surface [n_c]			+10% -10%
✖Conversion Factor is a numerical coefficient used to convert one set of units to another.ⓘ Conversion Factor [C]			+10% -10%
✖The Hydraulic Radius refers to the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius [r_H]			+10% -10%

✖The Energy Loss refers to the dissipation or reduction of energy within a system or process.ⓘ Energy Loss given Flow Velocity [S]

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Formula

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Energy Loss given Flow Velocity

Formula

S = {(\frac{V f \cdot n c}{C \cdot {r H}^{\frac{2}{3}}})}^{2}

Example

2.027679 J = {(\frac{1.12 m/s \cdot 0.017}{0.028 \cdot {0.33 m}^{\frac{2}{3}}})}^{2}

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Energy Loss given Flow Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Loss = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Hydraulic Radius^(2/3)))^2
S = ((V_f*n_c)/(C*r_H^(2/3)))^2
This formula uses 5 Variables

Variables Used

Energy Loss - (Measured in Joule) - The Energy Loss refers to the dissipation or reduction of energy within a system or process.
Flow Velocity - (Measured in Meter per Second) - The Flow Velocity refers to the speed at which a fluid (such as water) moves through a specific cross-section.
Roughness Coefficient of Conduit Surface - The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows.
Conversion Factor - Conversion Factor is a numerical coefficient used to convert one set of units to another.
Hydraulic Radius - (Measured in Meter) - The Hydraulic Radius refers to the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

STEP 1: Convert Input(s) to Base Unit

Flow Velocity: 1.12 Meter per Second --> 1.12 Meter per Second No Conversion Required
Roughness Coefficient of Conduit Surface: 0.017 --> No Conversion Required
Conversion Factor: 0.028 --> No Conversion Required
Hydraulic Radius: 0.33 Meter --> 0.33 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = ((V_f*n_c)/(C*r_H^(2/3)))^2 --> ((1.12*0.017)/(0.028*0.33^(2/3)))^2

Evaluating ... ...

S = 2.02767916605573

STEP 3: Convert Result to Output's Unit

2.02767916605573 Joule --> No Conversion Required

FINAL ANSWER

2.02767916605573 ≈ 2.027679 Joule <-- Energy Loss

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has created this Calculator and 200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Flow Velocity in Straight Sewers Calculators

Hydraulic Radius given Flow Velocity

Go Hydraulic Radius = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Energy Loss^(1/2)))^(3/2)

Roughness Coefficient using Flow Velocity

Go Roughness Coefficient of Conduit Surface = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Flow Velocity

Flow Velocity using Manning's formula

Go Flow Velocity = (Conversion Factor*Hydraulic Radius^(2/3)*Energy Loss^(1/2))/Roughness Coefficient of Conduit Surface

Energy Loss given Flow Velocity

Go Energy Loss = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Hydraulic Radius^(2/3)))^2

Energy Loss given Flow Velocity Formula

Energy Loss = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Hydraulic Radius^(2/3)))^2
S = ((V_f*n_c)/(C*r_H^(2/3)))^2

What do you mean by Flow Velocity?

Flow velocity is the rate of flow of any fluid through a cross-section. In other words, flow velocity is amount of fluid flown through a particular cross section per unit time. It depends upon the roughness of the material of pipe in which the fluid is flowing.

How to Calculate Energy Loss given Flow Velocity?

Energy Loss given Flow Velocity calculator uses Energy Loss = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Hydraulic Radius^(2/3)))^2 to calculate the Energy Loss, The Energy Loss given Flow Velocity is defined as the energy losses of flowing water due to pipe or channel wall roughness when flow velocity is known. Energy Loss is denoted by S symbol.

How to calculate Energy Loss given Flow Velocity using this online calculator? To use this online calculator for Energy Loss given Flow Velocity, enter Flow Velocity (V_f), Roughness Coefficient of Conduit Surface (n_c), Conversion Factor (C) & Hydraulic Radius (r_H) and hit the calculate button. Here is how the Energy Loss given Flow Velocity calculation can be explained with given input values -> 0.00072 = ((1.12*0.017)/(0.028*0.33^(2/3)))^2.

FAQ

What is Energy Loss given Flow Velocity?

The Energy Loss given Flow Velocity is defined as the energy losses of flowing water due to pipe or channel wall roughness when flow velocity is known and is represented as S = ((V_f*n_c)/(C*r_H^(2/3)))^2 or Energy Loss = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Hydraulic Radius^(2/3)))^2. The Flow Velocity refers to the speed at which a fluid (such as water) moves through a specific cross-section, The Roughness Coefficient of Conduit Surface refers to the roughness or irregularity of the inner surface of a conduit through which fluid flows, Conversion Factor is a numerical coefficient used to convert one set of units to another & The Hydraulic Radius refers to the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

How to calculate Energy Loss given Flow Velocity?

The Energy Loss given Flow Velocity is defined as the energy losses of flowing water due to pipe or channel wall roughness when flow velocity is known is calculated using Energy Loss = ((Flow Velocity*Roughness Coefficient of Conduit Surface)/(Conversion Factor*Hydraulic Radius^(2/3)))^2. To calculate Energy Loss given Flow Velocity, you need Flow Velocity (V_f), Roughness Coefficient of Conduit Surface (n_c), Conversion Factor (C) & Hydraulic Radius (r_H). With our tool, you need to enter the respective value for Flow Velocity, Roughness Coefficient of Conduit Surface, Conversion Factor & Hydraulic Radius and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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